Semantics Of The Probabilistic Typed Lambda Calculus
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| Author | : Dirk Draheim |
| Publisher | : Springer |
| Total Pages | : 222 |
| Release | : 2017-02-28 |
| Genre | : Computers |
| ISBN | : 364255198X |
This book takes a foundational approach to the semantics of probabilistic programming. It elaborates a rigorous Markov chain semantics for the probabilistic typed lambda calculus, which is the typed lambda calculus with recursion plus probabilistic choice. The book starts with a recapitulation of the basic mathematical tools needed throughout the book, in particular Markov chains, graph theory and domain theory, and also explores the topic of inductive definitions. It then defines the syntax and establishes the Markov chain semantics of the probabilistic lambda calculus and, furthermore, both a graph and a tree semantics. Based on that, it investigates the termination behavior of probabilistic programs. It introduces the notions of termination degree, bounded termination and path stoppability and investigates their mutual relationships. Lastly, it defines a denotational semantics of the probabilistic lambda calculus, based on continuous functions over probability distributions as domains. The work mostly appeals to researchers in theoretical computer science focusing on probabilistic programming, randomized algorithms, or programming language theory.
| Author | : Alessandra Di Pierro |
| Publisher | : Springer Nature |
| Total Pages | : 300 |
| Release | : 2020-02-14 |
| Genre | : Mathematics |
| ISBN | : 3030411036 |
This Festschrift is in honor of Chris Hankin, Professor at the Imperial College in London, UK, on the Occasion of His 65th Birthday. Chris Hankin is a Fellow of the Institute for Security Science and Technology and a Professor of Computing Science. His research is in cyber security, data analytics and semantics-based program analysis. He leads multidisciplinary projects focused on developing advanced visual analytics and providing better decision support to defend against cyber attacks. This Festschrift is a collection of scientific contributions related to the topics that have marked the research career of Professor Chris Hankin. The contributions have been written to honour Chris' career and on the occasion of his retirement.
| Author | : Sergei Artemov |
| Publisher | : Springer |
| Total Pages | : 378 |
| Release | : 2017-12-22 |
| Genre | : Mathematics |
| ISBN | : 3319720562 |
This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2018, held in Deerfield Beach, FL, USA, in January 2018. The 22 revised full papers were carefully reviewed and selected from 22 submissions. The scope of the Symposium is broad and includes constructive mathematics and type theory; homotopy type theory; logic, automata, and automatic structures; computability and randomness; logical foundations of programming; logical aspects of computational complexity; parameterized complexity; logic programming and constraints; automated deduction and interactive theorem proving; logical methods in protocol and program verification; logical methods in program specification and extraction; domain theory logics; logical foundations of database theory; equational logic and term rewriting; lambda andcombinatory calculi; categorical logic and topological semantics; linear logic; epistemic and temporal logics; intelligent and multiple-agent system logics; logics of proof and justification; non-monotonic reasoning; logic in game theory and social software; logic of hybrid systems; distributed system logics; mathematical fuzzy logic; system design logics; and other logics in computer science.
| Author | : Dang Van Hung |
| Publisher | : Springer |
| Total Pages | : 317 |
| Release | : 2017-09-28 |
| Genre | : Computers |
| ISBN | : 3319677292 |
This book constitutes the refereed proceedings of the 14th International Colloquium on Theoretical Aspects of Computing, ICTAC 2017, held in Hanoi, Vietnam, in October 2017. The 17 revised full papers presented together with three invited talks were carefully reviewed and selected from 40 submissions. The papers are organized in topical sections on logics; software components and concurrency; automata; SMT solvers and algorithms; and security.
| Author | : Dirk Draheim |
| Publisher | : Springer |
| Total Pages | : 211 |
| Release | : 2016-05-09 |
| Genre | : Mathematics |
| ISBN | : 9783642551994 |
In its first part, the book analyses symbolic computation involving probabilism from scratch. The book establishes rigorous Markov Chain semantics for the typed lambda calculus with recursion and probabilistic choices. It exploits statistical distributions as domains and defines appropriate denotational semantics for the introduced lambda calculus. It proofs important correspondence theorems between the established operational and denotational semantics. In the second part, we review the power of inductive logics as the foundation for expert reasoning systems.
| Author | : Andreas Herzig |
| Publisher | : Springer Nature |
| Total Pages | : 352 |
| Release | : 2020-01-28 |
| Genre | : Mathematics |
| ISBN | : 3030399516 |
This book constitutes the refereed proceedings of the 11th International Symposium on Foundations of Information and Knowledge Systems, FoIKS 2020, held in Dortmund, Germany, in February 2020. The 19 revised full papers presented were carefully reviewed and selected from 33 submissions. The papers address various topics such as big data; database design; dynamics of information; information fusion; integrity and constraint management; intelligent agents; knowledge discovery and information retrieval; knowledge representation, reasoning and planning; logics in databases and AI; mathematical foundations; security in information and knowledge systems; semi-structured data and XML; social computing; the semantic web and knowledge management; and the world wide web.
| Author | : Tran Khanh Dang |
| Publisher | : Springer |
| Total Pages | : 497 |
| Release | : 2018-11-08 |
| Genre | : Computers |
| ISBN | : 3030031926 |
This book constitutes the refereed proceedings of the 5th International Conference on Future Data and Security Engineering, FDSE 2018, held in Ho Chi Minh City, Vietnam, in November 2018. The 28 revised full papers and 7 short papers presented together with two papers of keynote speeches were carefully reviewed and selected from 122 submissions. The selected papers are organized into the following topical headings: security and privacy engineering; authentication and access control; big data analytics and applications; advanced studies in machine learning; deep learning and applications; data analytics and recommendation systems; Internet of Things and applications; smart city: data analytics and security; and emerging data management systems and applications.
| Author | : Sven Hartmann |
| Publisher | : Springer Nature |
| Total Pages | : 469 |
| Release | : 2020-09-13 |
| Genre | : Computers |
| ISBN | : 3030590038 |
The double volumes LNCS 12391-12392 constitutes the papers of the 31st International Conference on Database and Expert Systems Applications, DEXA 2020, which will be held online in September 2020. The 38 full papers presented together with 20 short papers plus 1 keynote papers in these volumes were carefully reviewed and selected from a total of 190 submissions.
| Author | : Stergios Chatzikyriakidis |
| Publisher | : John Wiley & Sons |
| Total Pages | : 256 |
| Release | : 2021-02-17 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 1786301288 |
This book studies formal semantics in modern type theories (MTTsemantics). Compared with simple type theory, MTTs have much richer type structures and provide powerful means for adequate semantic constructions. This offers a serious alternative to the traditional settheoretical foundation for linguistic semantics and opens up a new avenue for developing formal semantics that is both model-theoretic and proof-theoretic, which was not available before the development of MTTsemantics. This book provides a reader-friendly and precise description of MTTs and offers a comprehensive introduction to MTT-semantics. It develops several case studies, such as adjectival modification and copredication, to exemplify the attractiveness of using MTTs for the study of linguistic meaning. It also examines existing proof assistant technology based on MTT-semantics for the verification of semantic constructions and reasoning in natural language. Several advanced topics are also briefly studied, including dependent event types, an application of dependent typing to event semantics.
| Author | : Henk Barendregt |
| Publisher | : Cambridge University Press |
| Total Pages | : 969 |
| Release | : 2013-06-20 |
| Genre | : Mathematics |
| ISBN | : 1107276349 |
This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. The lambda calculus forms a prototype universal programming language, which in its untyped version is related to Lisp, and was treated in the first author's classic The Lambda Calculus (1984). The formalism has since been extended with types and used in functional programming (Haskell, Clean) and proof assistants (Coq, Isabelle, HOL), used in designing and verifying IT products and mathematical proofs. In this book, the authors focus on three classes of typing for lambda terms: simple types, recursive types and intersection types. It is in these three formalisms of terms and types that the unexpected mathematical beauty is revealed. The treatment is authoritative and comprehensive, complemented by an exhaustive bibliography, and numerous exercises are provided to deepen the readers' understanding and increase their confidence using types.
